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Finding the Fourth Proportional to 3,431.32, 4,735.14 and 1,939

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Solution

The fourth proportional to 3,431.32, 4,735.14 and 1,939 is: 2,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.32 : 4,735.14 = 1,939 : x
  2. Step 2: Convert to fraction form
    3,431.32/4,735.14 = 1,939/x
  3. Step 3: Cross multiply
    3,431.32x = 4,735.14 × 1,939
  4. Step 4: Simplify right side
    3,431.32x = 9,181,436.46
  5. Step 5: Solve for x
    x = 9,181,436.46/3,431.32
  6. Step 6: Final answer
    x = 2,675.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.